How do you find the domain of the function $f(x) = (2x + 5)/(2 - x)$ ?

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Answer 1 · 2015-04-13T13:08:04

The Domain of $f(x)$ is the set of all values for which $f(x)$ is valid.

$f(x)=(2x+5)/(2-x)$
exists for all values of $x$ except $x=2$ (since division by zero is illegal).

Therefore the Domain of $f(x)$ is
$(-oo,2)uu(2,+oo)$

How do you find the domain of the function f(x) = (2x + 5)/(2 - x)f(x) = (2x + 5)/(2 - x)?